Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1992-11-05
Prog.Theor.Phys. 89 (1993) 881-894
Physics
High Energy Physics
High Energy Physics - Phenomenology
modified PHYZZX(included), 4 Figures (not included), SAGA-HE-46 : KYUSHU-HET-6
Scientific paper
10.1143/PTP.89.881
\noindent A formalism based on path-integral expression of time-evolution operator during tunneling at a finite energy proposed by the authors is applied to $SU(2)$ gauge-Higgs system to produce Higgs particles with $\Delta B=1$. Instead of starting from instanton tunneling at the zero energy, a classical bounce solution giving sphaleron (instanton) action at high (low) energies is used as the tunneling configuration. Fourier transform of the bounce configuration in coherent state expression at the entrance and exit of the tunneling plays an important role. Numerical results at various energies for $M_H/M_W=1 \sim 2 $ are given. Though the cross section with $\Delta B=1$ results from a severe cancellation of several large quantities in the leading order as occured in the instanton calculus, it seems unlikely that the cross section grows as largely as to reach unitarity bound at energies $E \leq E_{sph}$. It is pointed out that the actual value $g^2=0.418$ of the $SU(2)$ gauge coupling constant may be too large to take the weak coupling limit.}
Funakubo Koichi
Otsuki Shoichiro
Takenaga Kazunori
Toyoda Fumihiko
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